The great thing about the first round of fantasy baseball drafts is you know you're getting a star player. Sure, you might rather have Miguel Cabrera at No. 3 than Prince Fielder at No. 11, but it's not as if you're going to be hurting with any of the top 12 guys. But after the initial high of your first-round pick fades, you have a lot of draft left, and you have a lot of tough decisions to make.

That first-round pick is going to affect many of those remaining decisions. It's easy to say that you're just going to draft the best player available as you go, but position scarcity —and category scarcity — are impossible to ignore. So, here are three tips for drafting after the first round:

1. Your second-round pick should still be "Best Player Available." If you're in a deep league, there's no reason to start worrying about position or category scarcity right away. You might have SS Troy Tulowitzki or SS/3B Hanley Ramirez higher on your board in general for those reasons, but you don't need to avoid drafting an outfielder just because you drafted an outfielder in the first round. Ditto for a first baseman.

It's a little trickier with the middle- and corner-infield positions, but if you have an MI or CI lineup slot plus at least one utility slot, it wouldn't be crazy to go Robinson Cano-Ian Kinsler if you really thought those were the best two players. Chances are, you can find someone comparable or better at another position, but at the top of the draft, it's all about getting the best talent. You have 20 more rounds to fill in the specifics.

2. Remember, your first-round pick is just one guy. It's easy to think, "I've got homers covered because I grabbed Jose Bautista right away," and then it's the 11th round and you realize you don't have any other power hitters. No first-round guy can do it all by himself. Even Mike Trout won't "win" steals for you unless you get a couple other guys with 20-steal potential.

On the flip side, you don't need to overreact if your first-round pick doesn't offer any steals. Yes, you'll eventually need some guys with speed, but you don't need to immediately reach for Jose Reyes in the second round and grab B.J. Upton in the third just to compensate. Again, there are plenty of rounds and plenty of decent players, particularly if you're looking for specialists.

3. Be honest with yourself about how you draft. This is a spin-off from the last one. If you know that you don't like to draft no-power speedsters or no-speed sluggers in the early/middle rounds, then you have to adjust your early-draft strategy. That doesn't mean you should pass up a clearly superior player in the first round just because you know Michael Bourn is not going to be on your team later, but you should keep in mind your personal drafting strategy as you go.

For instance, I generally don't draft big base stealers unless I can get them late, so I usually need at least some speed from middle infielders and at least one outfielder. Because of that, I like getting some speed with my first-round pick (which is why I'd take Andrew McCutchen instead of Joey Votto, or Matt Kemp over Albert Pujols). Also, guys like Dan Uggla or J.J. Hardy are less appealing to me later in the draft, so I really have to plan ahead for when those positions start thinning out.

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Rising: Yoenis Cespedes, OF, Oakland Athletics. Cespedes surpassed expectations as a rookie with 23 homers, 82 RBIs and 16 stolen bases. He produces on the level of Atlanta's Justin Upton, but Cespedes will be at least a round—sometimes two rounds—cheaper. Owners can expect Cespedes to improve in his second season, and the fact he actually hit better at O.co Coliseum than on the road only adds to that value. Don't be surprised if Cespedes delivers a 20/20 season.

Falling: Chase Headley, 3B, San Diego Padres. Owners already were leery of Headley's career year, which featured a .308 average, 23 homers and 73 RBIs after the 2012 All-Star break. Now, Headley is out four to six weeks with a fracture in his left thumb. Headley held a fourth-round price tag before the injury; now, it's possible Headley could fall as low as Round 8. Don't let that happen. Even if Headley doesn't return until May, he's one of the better power plays at thin position.

Sleeper: Anthony Rizzo, 1B, Chicago Cubs. Rizzo is a true sleeper at a deep position. The 22-year-old hit 15 homers with 48 RBIs in 87 games with the Cubs last season, and he boasts consistent home/road splits. Rizzo needs to improve against lefties—he hit just .208 against them last season—but he is a major breakout candidate for 2013.

Prospect: Manny Machado, 3B, Baltimore Orioles. Machado had 18 extra-base hits in 191 at-bats in the middle of a heated playoff race last season, and owners should applaud his reasonable 19.9 strikeout percentage. There's a risk of over-drafting with Machado, however, because third base is loaded with several young sleepers, including Toronto's Brett Lawrie and Kansas City's Mike Moustakas. Don't overpay for Machado, who likely will be more of a No. 2 3B in Roto formats.

— Bill Bender

For more fantasy baseball sleepers, check out Bill Bender's 2013 All-Sleeper Team for Fantasy Source Baseball members only.